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201320200 = 235219311709
BaseRepresentation
bin10111111111111…
…10011100001000
3112000211010101201
423333332130020
5403014221300
631550553544
74663123234
oct1377763410
9460733351
10201320200
11a3704934
12575088b4
133292a1a3
141ca475c4
1512a1a66a
hexbffe708

201320200 has 96 divisors (see below), whose sum is σ = 508896000. Its totient is φ = 73785600.

The previous prime is 201320183. The next prime is 201320221. The reversal of 201320200 is 2023102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116946 + ... + 118654.

It is an arithmetic number, because the mean of its divisors is an integer number (5301000).

Almost surely, 2201320200 is an apocalyptic number.

201320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254448000).

201320200 is an abundant number, since it is smaller than the sum of its proper divisors (307575800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201320200 is a wasteful number, since it uses less digits than its factorization.

201320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 201320200 is about 14188.7349682768. The cubic root of 201320200 is about 586.0874894125.

Adding to 201320200 its reverse (2023102), we get a palindrome (203343302).

The spelling of 201320200 in words is "two hundred one million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 31 38 40 50 62 76 95 100 124 152 155 190 200 248 310 380 475 589 620 760 775 950 1178 1240 1550 1709 1900 2356 2945 3100 3418 3800 4712 5890 6200 6836 8545 11780 13672 14725 17090 23560 29450 32471 34180 42725 52979 58900 64942 68360 85450 105958 117800 129884 162355 170900 211916 259768 264895 324710 341800 423832 529790 649420 811775 1006601 1059580 1298840 1324475 1623550 2013202 2119160 2648950 3247100 4026404 5033005 5297900 6494200 8052808 10066010 10595800 20132020 25165025 40264040 50330050 100660100 201320200